Question

In an objective type paper of 150 questions; John got 80% correct answers and Mohan got 64% correct answers.

(i) How many correct answers did each get?

(ii) What percent is Mohan’s correct answers to John’s correct answers?

Answer 1

Total questions = 150
John got correct answers = 80%
Mohan got correct answer = 64%

(i) Number of correct answers got by John
= ${\displaystyle \frac{80}{100}\times 150}$
= 120

Number of correct answers got by Mohan

= ${\displaystyle \frac{64}{100}\times 150}$

= ${\displaystyle \frac{64}{4}\times 6}$

= 96

(ii) % of Mohan's correct answers to John's correct answers

= ${\displaystyle \frac{96}{120}\times 100}$

= ${\displaystyle \frac{4}{5}\times 100}$

= 4 x 20

= 80%